Quantifying the phase of quantum states

Abstract

Phase is a basic ingredient for quantum states since quantum mechanics uses complex numbers to describe quantum states. In this letter, we introduce a rigorous framework to quantify the phase of quantum states. To do so, we regard phase as a quantum resource, and specify the free states and free operations. We determine the conditions a phase measure should satisfy and provide some phase measures. We also propose the notion of intrinsic phase for quantum states.

8 pages, 3 figures. Any comments are welcome!

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• The resource theory of quantum reference frames: manipulations and monotones
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Cited by in corpus (1)

• Imaginarity of Gaussian states